Jimmy ran 20 meters west from home and then turned north to jog 25 meters. Jimmy ran 45 meters, but could have arrived at the same point by jogging in a straight line. (3 points)
Drawing a straight line from the starting point to the ending point would create a____triangle.
You can use the____ to find the direct straight-line distance for Jimmy.
If Jimmy took the direct line, he would have traveled approximately____meters.
The triangle created by connecting Jimmy's starting point, the point 20 meters west from his home, and the point 25 meters north of that would be a right triangle.
You can use the Pythagorean theorem to find the direct straight-line distance for Jimmy. Since one side of the right triangle is 20 meters and the other side is 25 meters, the hypotenuse (the direct straight-line distance) can be found using the formula: c^2 = a^2 + b^2, where c is the hypotenuse, and a and b are the other two sides of the triangle. Plugging in the values, we get: c^2 = 20^2 + 25^2
c^2 = 400 + 625
c^2 = 1025
c = √1025
c ≈ 32.01
If Jimmy took the direct line, he would have traveled approximately 32.01 meters.